Least Common Multiple of 55/64, 39/49, 39/92, 31/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/64, 39/49, 39/92, 31/305 quickly i.e. 66495 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/64, 39/49, 39/92, 31/305 is 66495.

LCM(55/64, 39/49, 39/92, 31/305) = 66495

LCM of 55/64, 39/49, 39/92, 31/305

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 55/64,39/49,39/92,31/305

Given numbers are 55/64,39/49,39/92,31/305

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 55,39,39,31

Least Common Multiple of Numerators i.e. LCM of 55,39,39,31 is 66495.

GCF of Denominators means GCF of 64,49,92,305 as per the given fractions.

GCF of 64,49,92,305 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,39,39,31

LCM of Fractions 55/64,39/49,39/92,31/305 is 66495

3 55, 39, 39, 31
13 55, 13, 13, 31
55, 1, 1, 31

∴ So the LCM of the given numbers is 3 x 13 x 55 x 1 x 1 x 31 = 66495

Least Common Multiple of 55,39,39,31 with GCF Formula

Least Common Multiple of 55,39,39,31 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 55,39,39,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,39,39,31) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(55,39,39,31) x common factors =1 x 39 = 39

LCM(55,39,39,31) = ( 55 × 39 × 39 × 31 ) / 39

LCM(55,39,39,31) = 2593305 / 39

LCM(55,39,39,31) = 66495


Lets's calculate GCF of 64,49,92,305

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66495/1

Therefore the LCM of Fractions 55/64,39/49,39/92,31/305 is 66495

Greatest Common Factor of 64,49,92,305 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,49,92,305 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors 64,49,92,305 . The biggest common factor number is the GCF number.
So the greatest common factor 64,49,92,305 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 55/64, 39/49, 39/92, 31/305

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 55/64, 39/49, 39/92, 31/305?

Answer: LCM of Numerators as per given numbers 55/64, 39/49, 39/92, 31/305 is

LCM of Numerators i.e. for 55,39,39,31 is 66495

GCF of denominators i.e. for 64,49,92,305 is 1.

Thus, LCM of Fractions is 66495.Finally, LCM of Fractions for 55/64, 39/49, 39/92, 31/305 is 66495.